Maximum Cuts in Extended Natural Deduction
Publications de l'Institut Mathématique, _N_S_87 (2010) no. 101, p. 59
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We consider a standard system of sequents and a system of extended natural deduction
(which is a modification of natural deduction)
for intuitionistic predicate logic and connect the special cuts, maximum cuts,
from sequent derivations and maximum segments from derivations of extended natural deduction.
We show that the image of a sequent derivation without maximum cuts is a derivation without maximum segments
(i.e., a normal derivation) in extended natural deduction.
Classification :
03F05 03F07
Keywords: systems of sequents, natural deduction, cut elimination, normalization
Keywords: systems of sequents, natural deduction, cut elimination, normalization
@article{PIM_2010_N_S_87_101_a3,
author = {Mirjana Borisavljevi\'c},
title = {Maximum {Cuts} in {Extended} {Natural} {Deduction}},
journal = {Publications de l'Institut Math\'ematique},
pages = {59 },
year = {2010},
volume = {_N_S_87},
number = {101},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_2010_N_S_87_101_a3/}
}
Mirjana Borisavljević. Maximum Cuts in Extended Natural Deduction. Publications de l'Institut Mathématique, _N_S_87 (2010) no. 101, p. 59 . http://geodesic.mathdoc.fr/item/PIM_2010_N_S_87_101_a3/